Key Stage 5
Meaning
The de Broglie wavelength is the wavelength associated with a particle and is inversely proportional to its momentum, demonstrating the wave-like nature of matter.
About de Broglie Wavelength
Given by the formula 𝜆 = ℎ 𝑝 λ= p h
, where
𝜆 λ is the wavelength, ℎ h is the Planck constant, and 𝑝 p is the momentum. Suggests that particles such as electrons have wave properties. Confirmed by experiments such as electron diffraction through a crystal. Fundamental to the development of quantum mechanics. The concept applies to all particles, including macroscopic objects, but the wavelength is significant only for very small particles like electrons.
Formula
The de Broglie Wavelength of an object is given by the formula:
\[~ \lambda = \frac {h} {mv}. \]
Examples
Electrons showing diffraction patterns when passing through a thin crystal. The de Broglie wavelength of a moving car is extremely small and not observable.